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Finding the Fourth Proportional to 22,167, 33,250.50 and 8,306.28

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Solution

The fourth proportional to 22,167, 33,250.50 and 8,306.28 is: 12,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 33,250.50 = 8,306.28 : x
  2. Step 2: Convert to fraction form
    22,167/33,250.50 = 8,306.28/x
  3. Step 3: Cross multiply
    22,167x = 33,250.50 × 8,306.28
  4. Step 4: Simplify right side
    22,167x = 276,187,963.14
  5. Step 5: Solve for x
    x = 276,187,963.14/22,167
  6. Step 6: Final answer
    x = 12,459.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.